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Finding the Fourth Proportional to 2,650.86, 3,983.46 and 1,419.12

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Solution

The fourth proportional to 2,650.86, 3,983.46 and 1,419.12 is: 2,132.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.86 : 3,983.46 = 1,419.12 : x
  2. Step 2: Convert to fraction form
    2,650.86/3,983.46 = 1,419.12/x
  3. Step 3: Cross multiply
    2,650.86x = 3,983.46 × 1,419.12
  4. Step 4: Simplify right side
    2,650.86x = 5,653,007.76
  5. Step 5: Solve for x
    x = 5,653,007.76/2,650.86
  6. Step 6: Final answer
    x = 2,132.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.